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Finding the Fourth Proportional to 145,057.17, 200,178.36 and 81,394.82

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Solution

The fourth proportional to 145,057.17, 200,178.36 and 81,394.82 is: 112,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,057.17 : 200,178.36 = 81,394.82 : x
  2. Step 2: Convert to fraction form
    145,057.17/200,178.36 = 81,394.82/x
  3. Step 3: Cross multiply
    145,057.17x = 200,178.36 × 81,394.82
  4. Step 4: Simplify right side
    145,057.17x = 16,293,480,579.20
  5. Step 5: Solve for x
    x = 16,293,480,579.20/145,057.17
  6. Step 6: Final answer
    x = 112,324.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.